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The Calculus Tutoring Book
Customer Reviews — [1] Rating: 5 Date: 2007-12-16 Summary: The Best Introduction To Calculus ... This book does what it intends to do. It gives the reader a gentle, but extremely engaging and informative, introduction to calculus. It goes from simple 1 dimensional caclulus to the calculus of three dimensions. Its scope is not as large as other calculus books, but where it lacks in scope, it easily makes up for in qaulity. It is a very intuitive approach, and some of the proofs for important theorems are a little short and informal, but this does not really detract from the book. All it means is that this book ...more
[2] Rating: 4 Date: 2007-11-10 Summary: Good for Solidifying Calculus concepts ... Pros: 1. Direct to the point tutorial. 2. Simple and generally easy to follow examples. 3. Good exercises with answers. 4. Self contained. Do not need a graphical calculator. 5. Covers most colleges Calculus 1, 2, 3 courses. 6. Easy language. 7. Good supplementary book. 8. Simple and easy to understand diagrams. Cons: 1. Few instances of presenting material without adequate explanations. 2. Need detailed Calculus text to fully understand concepts thoroughly. 3. Vector Calculus is not covered. Overall, if you have some ...more
[3] Rating: 5 Date: 2007-09-23 Summary: First, I have to admit that I have not read this... ... ...book...however, Carol Ash was my professor for a course in differential equations and orthogonal functions at the University of Illinois and I think she was the best teacher I have ever had in ANY subject...if this book reflects her ability to make difficult concepts comprehensible then I have no doubt it is outstanding. ...a couple of months later and I'm adding a comment I found in a review by "roninsf" of Stewart's calculus text: "Another excellent book to supplement any calculus text is "The Calculus Tutoring ...more
Editorial Reviews — ... Product Description | This book fills an educational void by adapting unique classroom-tested techniques that students find most congenial...that strip the shroud of mystery from an esoteric subject...that prepare students for applications of calculus in later courses....more


Calculus (With Analytic Geometry)(8th edition)
Customer Reviews — [1] Rating: 5 Date: 2010-06-29 Summary: CAL ... The shipping was exremley fast. Book was in great condition and look brand new. I dnt knw if the person who delivered yhe package dropped the book but the package it was in was damaged. When i took it out the book was just fine no damage done. ...more
[2] Rating: 5 Date: 2010-04-06 Summary: Old but still good ... The current version of this book is 9th edition. The eighth edition has all the same material with some of the exercises changed. Some instructors will allow you to use the older edition, which is still a good book if you want to save some money ...more
[3] Rating: 5 Date: 2010-03-04 Summary: Perfect price for a near perfect almost new book ... Found this book at almost 1/3 the price of a new book that is sold at our campus bookstore. I will never buy another book from my bookstore their prices are ridiculous shop amazon.com only they have everything you need textbook wise and the have very reasonable shipping prices. YAY amazon:-) ...more
Editorial Reviews — ... Product Description | Designed for the three-semester calculus course for math and science majors, Calculus continues to offer instructors and students new and innovative teaching and learning resources. This was the first calculus text to use computer-generated graphics, to include exercises involving the use of computers and graphing calculators, to be available in an interactive CD-ROM format, to be offered as a complete, online calculus course, and to offer a two-semester Calculus I with Precalculus text....more


Advanced Calculus of Several Variables (Dover Books on Advanced Mathematics)
Customer Reviews — [1] Rating: 4 Date: 2010-03-18 Summary: School Book ... Well I don't really have any opinion about this book. I need it for my class and only open it when I have to. It is competent enough and cheap compared to similar texts. Does anyone know how to figure out if the square root of the absolute value of xy is continuous in mapping R^2 to R^1? This book will help. ...more
[2] Rating: 5 Date: 2008-02-20 Summary: The best Advanced Calculus Book ... This is a wonderful book. The exercises are interesting and resolvable: you do not need to be a genius. In rigorous style, it covers differential manifolds, differential forms, etc.. Buy it! ...more
[3] Rating: 5 Date: 2007-09-30 Summary: Great prep for manifolds and tensors ... This is a clear, well motivated discussion of advanced calculus (2nd year, multivariable) using the machinery and vocabulary of the differential mapping and differential forms. This discussion takes place within Rn and all manifolds are explicitly within Rn. So this lets you get a good grounding in the ideas that are generalized in the more abstract differential geometry/Reimannian setting. There is mothing you lead to "unlearn" to adapt to the more abstract world of bundles. It gives a clear roadmap of the ideas that ...more
Editorial Reviews — ... Product Description | Modern conceptual treatment of multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. At the same time, ample attention is paid to the classical applications and computational methods responsible for much of the interest and importance of the subject. Hundreds of carefully chosen examples, problems and figures. 1973 edition. ...more


Methods of Mathematics Applied to Calculus, Probability, and Statistics (Dover Books on Mathematics)
Customer Reviews — [1] Rating: 5 Date: 2006-07-09 Summary: Mathematics you need ... If you are that person, that happened to be in such circumstances of your life, that you could not learn the Mathematics methods: you came from another country, or you have graduated from a high school far away from mathematical community, or you had been so young and thought you will never need any math in your life; but now you need that background when you go through the college, university or whatever you need math for. But be patient, it is a big volume, as mathematics itself. I would like that all textbooks were ...more
[2] Rating: 5 Date: 2005-05-18 Summary: An elegant integration of probability with calculus ... It is good to see this fine book reappear in print from the misty depths of publishing obscurity. "Methods" is an elementary calculus text, covering the basic ground all such texts cover: differentiation; integration; methods of integration; the elementary calculus of polynomials, transcendentals and Taylor series. The presentation is clear and engaging; the exercises are well chosen. The book is unconventional in one important way, however, and this is what renders the book worthy of special note: it emphasizes throughout ...more
Editorial Reviews — ... Product Description | This text focuses on the most widely used applications of mathematical methods, including those related to probability and statistics. The 4-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. 1985 edition. Includes 310 figures and 18 tables. ...more


The Malliavin Calculus (Dover Books on Mathematics)
Customer Reviews — [1] Rating: 4 Date: 2009-11-15 Summary: easy and quick introduction ... Malliavin calculus appears everywhere in Stochastic Modelling and Theory. This booklet introduces the profane to this wide subject in a clear and concise way. ...more
[2] Rating: 5 Date: 2006-11-26 Summary: A short but effective introduction to the Malliavin calculus ... Due to its use in mathematical finance and financial engineering, the Malliavin calculus is a topic that must be understood if one is to work in these areas. It does of course have an intrinsic interest in the theory of stochastic differential equations and stochastic calculus. The original problem in which Malliavin was interested in studying consisted of an analytic map T: E->F between Euclidean spaces and an induced measure on F by a solution of a stochastic differential equation on E. When E has finite dimension ...more
Editorial Reviews — ... Product Description | This introduction to Malliavin's stochastic calculus of variations emphasizes the problem that motivated the subject's development, with detailed accounts of the different forms of the theory developed by Stroock and Bismut, discussions of the relationship between these two approaches, and descriptions of a variety of applications. 1987 edition. ...more


The Umbral Calculus (Dover Books on Mathematics)
Customer Reviews — [1] Rating: 5 Date: 2008-04-17 Summary: Already a mathematics classic ... This book is a reference text on polynomials that are useful in quantum mechanics. Orthogonal polynomials are the backbone of Hilbert spaces and solutions to problems like the wave mechanics of hydrogen. The only problem I have with the book is that he has only 5 categories and leaves out the matrix generated polynomials that are related to to Heisenberg's matrix mechanics which is equivalent to Schrödinger's wave mechanics. I wish that I could already say I understood things like Vandermonde's convolution formula, ...more
[2] Rating: 5 Date: 2004-06-07 Summary: Another viewpoint ... Another viewpoint on this subject than the one in the paper of Rota, Kahaner, and Odlyzko is in a paper titled _The_Umbral_Calculus_, by Steven Roman and Gian-Carlo Rota, published in Advances in Mathematics, volume 31, pages 95-188, in 1978. That paper makes the connection between the theory of Sheffer sequences and the "symbolic method" of Blissard much clearer than does the one by R., K., & O., and can also serve as motivation if you need that before tackling this book. I'm writing this second review in order to ...more
[3] Rating: 4 Date: 2003-05-16 Summary: Indispensible, but read Rota's paper first ... I'd give this about four-and-a-half stars, but the software allows only integers. In the preface, the author, Steven Roman, correctly identifies this book's deficiency quite explicitly: It presents the theory before explaining the motivation. Later, when he gets into application to concrete examples, Roman also seems to view such application as the only source of motivation. The book is primarily about Sheffer sequences. A Sheffer sequence is a certain kind of polynomial sequence. A polynomial sequence is understood ...more
Editorial Reviews — ... Product Description | Geared toward upper-level undergraduates and graduate students, this elementary introduction to classical umbral calculus explores Sheffer sequences and operators and their adjoints, with numerous examples of associated and other sequences. Also discusses the connection constants problem and duplication formulas, the Lagrange inversion formula, operational formulas, inverse relations, and binomial convolution. 1984 edition. ...more

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